The graph of f shown consists of a semicircle and two line segments on the interval [-2, 6]. Let g (x) = " f (t) dt (4.4) Graph of f -2 2 4 (6,-4) a). Find g(4) and g'(3). b). On what open intervals contained in -2 s xs 6 is the graph of g increasing. Justify your answer. c). On what open intervals contained in -2
The graph of f shown consists of a semicircle and two line segments on the interval [-2, 6]. Let g (x) = " f (t) dt (4.4) Graph of f -2 2 4 (6,-4) a). Find g(4) and g'(3). b). On what open intervals contained in -2 s xs 6 is the graph of g increasing. Justify your answer. c). On what open intervals contained in -2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.1: Systems Of Equations
Problem 41E
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How do you solve for c and d? Do you use the second derivative? Would that mean the absolute maximum is 4?
![The graph of f shown consists of a semicircle and two line segments on the interval [-2, 6].
Let g (x) = S" f (t) dt
(4,4)
Graph of f
-2
4
(6,-4)
a). Find g(4) and g'(3).
b). On what open intervals contained in -2 s xs 6 is the graph of g increasing. Justify your answer.
c). On what open intervals contained in -2 <x <6 is the graph of g concave up? Justify your answer.
d). At what value of x on the interval -2 sxs 6 will g achieve its absolute maximum? (Don't forget to also evaluate g at the endpoints) Justify your
answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F47a2dcbd-8c44-4783-b268-bad441c2f1d6%2F2de0c766-eca8-4e24-a754-b5f2a6f31519%2Fwfe5rck_processed.png&w=3840&q=75)
Transcribed Image Text:The graph of f shown consists of a semicircle and two line segments on the interval [-2, 6].
Let g (x) = S" f (t) dt
(4,4)
Graph of f
-2
4
(6,-4)
a). Find g(4) and g'(3).
b). On what open intervals contained in -2 s xs 6 is the graph of g increasing. Justify your answer.
c). On what open intervals contained in -2 <x <6 is the graph of g concave up? Justify your answer.
d). At what value of x on the interval -2 sxs 6 will g achieve its absolute maximum? (Don't forget to also evaluate g at the endpoints) Justify your
answer.
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